A note on dynamic ray tracing in ray-centered coordinates in anisotropic inhomogeneous media |
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| Authors: | V ?ervený |
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| Institution: | (1) Department of Geophysics, Faculty of Mathematics and Physics, Charles University, Ke Karlovu 3, 121 16 Praha 2, Czech Republic |
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| Abstract: | Dynamic ray tracing plays an important role in paraxial ray methods. In this paper, dynamic ray tracing systems for inhomogeneous
anisotropic media, consisting of four linear ordinary differential equations of the first order along the reference ray, are
studied. The main attention is devoted to systems expressed in a particularly simple choice of ray-centered coordinates, here
referred to as the standard ray-centered coordinates, and in wavefront orthonormal coordinates. These two systems, known from
the literature, were derived independently and were given in different forms. In this paper it is proved that both systems
are fully equivalent. Consequently, the dynamic ray tracing system, consisting of four equations in wavefront orthonormal
coordinates, can also be used if we work in ray-centered coordinates, and vice versa.
vcerveny@seis.karlov.mff.cuni.cz |
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| Keywords: | dynamic ray tracing inhomogeneous anisotropic media ray-centered coordinates wavefront orthonormal coordinates |
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